Created
April 25, 2017 18:33
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VPython Lab6. Fractal
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from __future__ import division | |
import numpy as np | |
import matplotlib.pyplot as plt | |
if __name__ == "__main__": | |
n = 10**6 | |
x_pos = np.zeros(n) | |
y_pos = np.zeros(n) | |
def new_pos(p, x, y): | |
if p <= 0.85: | |
return 0.85 * x + 0.04 * y, -0.04 * x + 0.859 * y + 1.6 | |
elif 0.85 < p <= 0.92: | |
return 0.2 * x - 0.26 * y, 0.23 * x + 0.22 * y + 1.6 | |
elif 0.92 < p <= 0.99: | |
return -0.15 * x + 0.28 * y, 0.26 * x + 0.24 * y + 0.44 | |
else: | |
return 0.0, 0.16 * y | |
for i in range(n - 1): | |
x_pos[i + 1], y_pos[i + 1] = new_pos(np.random.sample(), x_pos[i], y_pos[i]) | |
plt.figure(facecolor='black') | |
plt.subplot(1, 2, 1, axisbg='black') | |
plt.plot(x_pos, y_pos, ',', color='Lime') | |
xl, xu, yl, yu = 0.25, 0.75, 2, 3 | |
plt.plot([xl, xu, xu, xl, xl], [yl, yl, yu, yu, yl], 'r') | |
x_pos2 = np.zeros(n) | |
y_pos2 = np.zeros(n) | |
xn, yn = 0.0, 0.0 | |
cnt = 0 | |
while cnt < n: | |
xn, yn = new_pos(np.random.sample(), xn, yn) | |
if xl < xn < xu and yl < yn < yu: | |
x_pos2[cnt], y_pos2[cnt] = xn, yn | |
cnt += 1 | |
plt.subplot(1, 2, 2, axisbg='black') | |
plt.plot(x_pos2, y_pos2, ',', color='Lime') | |
plt.show() |
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